Question

Is (3,1) a solution to this system of equations?
2x+y=7
2x+4y=10

Answer 1

After substituting the point (3,1) into both equations of the system, we find that it satisfies each equation and is therefore a solution to the system.

Step-by-step explanation:

To determine if the point (3,1) is a solution to the given system of equations, we need to check if it satisfies both equations simultaneously. Let's substitute x=3 and y=1 into each equation:

• For the first equation, 2x + y = 7:
  
  2(3) + 1 = 6 + 1 = 7, which matches the right side of the equation.
• For the second equation, 2x + 4y = 10:
  
  2(3) + 4(1) = 6 + 4 = 10, which also matches the right side of the equation.

Since (3,1) satisfies both equations, it is indeed a solution to the system of equations.

Answer 2

Answer:2(3)+4(1)=10,

Step-by-step explanation:

To check if (3,1) is a solution to the system of equations 2x+y=7 and 2x+4y=10, we substitute x=3 and y=1 into the equations and check if the equations hold true.